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Finding the Fourth Proportional to 31,611.96, 47,417.88 and 12,887.88

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Solution

The fourth proportional to 31,611.96, 47,417.88 and 12,887.88 is: 19,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611.96 : 47,417.88 = 12,887.88 : x
  2. Step 2: Convert to fraction form
    31,611.96/47,417.88 = 12,887.88/x
  3. Step 3: Cross multiply
    31,611.96x = 47,417.88 × 12,887.88
  4. Step 4: Simplify right side
    31,611.96x = 611,115,947.29
  5. Step 5: Solve for x
    x = 611,115,947.29/31,611.96
  6. Step 6: Final answer
    x = 19,331.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.